%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU294+3 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:16 AM UTC 2026 % Result : Theorem 0.37s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU294+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:54:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.63 % SZS status Theorem % 0.37/0.63 % SZS output start Proof % 0.37/0.63 ( % 0.37/0.63 (declare-sort $$unsorted 0) % 0.37/0.63 (declare-const tptp.transfinite_sequence (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.ordinal_yielding (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.function_yielding (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.empty_set $$unsorted) % 0.37/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.positive_rationals $$unsorted) % 0.37/0.63 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.63 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.63 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.63 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.63 (define @t4 () (@list @t1 @t2)) % 0.37/0.63 (define @t5 () (tptp.ordinal @t2)) % 0.37/0.63 (define @t6 () (tptp.epsilon_connected @t2)) % 0.37/0.63 (define @t7 () (tptp.epsilon_transitive @t2)) % 0.37/0.63 (define @t8 () (tptp.element @t2 @t1)) % 0.37/0.63 (define @t9 () (@list @t2)) % 0.37/0.63 (define @t10 () (tptp.ordinal @t1)) % 0.37/0.63 (define @t11 () (@list @t1)) % 0.37/0.63 (define @t12 () (tptp.finite @t1)) % 0.37/0.63 (define @t13 () (tptp.empty @t1)) % 0.37/0.63 (define @t14 () (tptp.function @t1)) % 0.37/0.63 (define @t15 () (tptp.epsilon_connected @t1)) % 0.37/0.63 (define @t16 () (tptp.epsilon_transitive @t1)) % 0.37/0.63 (define @t17 () (and @t16 @t15)) % 0.37/0.63 (define @t18 () (tptp.relation @t1)) % 0.37/0.63 (define @t19 () (tptp.natural @t1)) % 0.44/0.63 (define @t20 () (and @t16 @t15 @t10 @t19)) % 0.44/0.63 (define @t21 () (tptp.finite @t2)) % 0.44/0.63 (define @t22 () (tptp.powerset @t1)) % 0.44/0.63 (define @t23 () (tptp.element @t2 @t22)) % 0.44/0.63 (define @t24 () (forall @t9 (=> @t23 @t21))) % 0.44/0.63 (define @t25 () (=> @t12 @t24)) % 0.44/0.63 (define @t26 () (forall @t11 @t25)) % 0.44/0.63 (define @t27 () (tptp.one_to_one @t1)) % 0.44/0.63 (define @t28 () (and @t18 @t14 @t27)) % 0.44/0.63 (define @t29 () (and @t18 @t13 @t14)) % 0.44/0.63 (define @t30 () (and @t16 @t15 @t10)) % 0.44/0.63 (define @t31 () (tptp.element @t1 tptp.positive_rationals)) % 0.44/0.63 (define @t32 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.44/0.63 (define @t33 () (tptp.relation tptp.empty_set)) % 0.44/0.63 (define @t34 () (tptp.empty tptp.empty_set)) % 0.44/0.63 (define @t35 () (not @t13)) % 0.44/0.63 (define @t36 () (tptp.empty @t2)) % 0.44/0.63 (define @t37 () (not @t36)) % 0.44/0.63 (define @t38 () (tptp.transfinite_sequence @t1)) % 0.44/0.63 (define @t39 () (tptp.relation_empty_yielding @t1)) % 0.44/0.63 (define @t40 () (tptp.subset @t1 @t2)) % 0.44/0.63 (define @t41 () (and @t40 @t21)) % 0.44/0.63 (define @t42 () (forall @t4 (=> @t41 @t12))) % 0.44/0.63 (define @t43 () (not @t42)) % 0.44/0.63 (define @t44 () (tptp.element @t1 @t2)) % 0.44/0.63 (define @t45 () (tptp.element @t1 (tptp.powerset @t2))) % 0.44/0.63 (define @t46 () (forall @t4 (= @t45 @t40))) % 0.44/0.63 (define @t47 () (@var "C" $$unsorted)) % 0.44/0.63 (define @t48 () (tptp.element @t2 (tptp.powerset @t47))) % 0.44/0.63 (define @t49 () (@list @t1 @t2 @t47)) % 0.44/0.63 (define @t50 () (@var "BOUND_VARIABLE_7670" $$unsorted)) % 0.44/0.63 (define @t51 () (tptp.finite @t50)) % 0.44/0.63 (define @t52 () (not (tptp.element @t50 @t22))) % 0.44/0.63 (define @t53 () (not @t12)) % 0.44/0.63 (define @t54 () (or @t53 @t52 @t51)) % 0.44/0.63 (define @t55 () (or @t52 @t51)) % 0.44/0.63 (define @t56 () (or @t53 @t55)) % 0.44/0.63 (define @t57 () (@list @t1 @t50)) % 0.44/0.63 (define @t58 () (forall @t57 @t56)) % 0.44/0.63 (define @t59 () (@list @t50)) % 0.44/0.63 (define @t60 () (forall @t59 @t56)) % 0.44/0.63 (define @t61 () (forall @t59 @t55)) % 0.44/0.63 (define @t62 () (or @t53 @t61)) % 0.44/0.63 (define @t63 () (forall @t9 (or (not @t23) @t21))) % 0.44/0.63 (define @t64 () (not @t21)) % 0.44/0.63 (define @t65 () (not @t40)) % 0.44/0.63 (define @t66 () (or @t65 @t64 @t12)) % 0.44/0.63 (define @t67 () (forall @t4 @t66)) % 0.44/0.63 (define @t68 () (@quantifiers_skolemize @t67 1)) % 0.44/0.63 (define @t69 () (@quantifiers_skolemize @t67 0)) % 0.44/0.63 (define @t70 () (tptp.subset @t69 @t68)) % 0.44/0.63 (define @t71 () (tptp.finite @t69)) % 0.44/0.63 (define @t72 () (tptp.finite @t68)) % 0.44/0.63 (define @t73 () (not @t72)) % 0.44/0.63 (define @t74 () (not @t70)) % 0.44/0.63 (define @t75 () (or @t74 @t73 @t71)) % 0.44/0.63 (define @t76 () (@list true)) % 0.44/0.63 (define @t77 () (@list @t75)) % 0.44/0.63 (define @t78 () (tptp.element @t69 (tptp.powerset @t68))) % 0.44/0.63 (define @t79 () (= @t70 @t78)) % 0.44/0.63 (define @t80 () (not @t78)) % 0.44/0.63 (define @t81 () (or @t73 @t80 @t71)) % 0.44/0.63 (define @t82 () (not @t81)) % 0.44/0.63 (define @t83 () (forall @t57 @t54)) % 0.44/0.63 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.44/0.63 (assume @p2 (forall @t11 (=> @t10 (forall @t9 (=> @t8 (and @t7 @t6 @t5)))))) % 0.44/0.63 (assume @p3 (forall @t11 (=> @t13 @t12))) % 0.44/0.63 (assume @p4 (forall @t11 (=> @t13 @t14))) % 0.44/0.63 (assume @p5 (forall @t11 (=> @t10 @t17))) % 0.44/0.63 (assume @p6 (forall @t11 (=> @t13 @t18))) % 0.44/0.63 (assume @p7 (forall @t11 (=> (and @t13 @t10) @t20))) % 0.44/0.63 (assume @p8 @t26) % 0.44/0.63 (assume @p9 (forall @t11 (=> @t29 @t28))) % 0.44/0.63 (assume @p10 (forall @t11 (=> @t17 @t10))) % 0.44/0.63 (assume @p11 (forall @t11 (=> @t13 @t30))) % 0.44/0.63 (assume @p12 (forall @t11 (=> @t31 (=> @t10 @t20)))) % 0.44/0.63 (assume @p13 (forall @t11 (exists @t9 @t8))) % 0.44/0.63 (assume @p14 (and @t34 @t33 @t32)) % 0.44/0.63 (assume @p15 (forall @t11 (not (tptp.empty @t22)))) % 0.44/0.63 (assume @p16 @t34) % 0.44/0.63 (assume @p17 (and @t33 @t32 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t34 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.44/0.63 (assume @p18 (and @t34 @t33)) % 0.44/0.63 (assume @p19 (not (tptp.empty tptp.positive_rationals))) % 0.44/0.63 (assume @p20 (exists @t11 (and @t35 @t16 @t15 @t10 @t19))) % 0.44/0.63 (assume @p21 (exists @t11 (and @t35 @t12))) % 0.44/0.63 (assume @p22 (exists @t11 (and @t18 @t14 (tptp.function_yielding @t1)))) % 0.44/0.63 (assume @p23 (exists @t11 (and @t18 @t14))) % 0.44/0.63 (assume @p24 (exists @t11 @t30)) % 0.44/0.63 (assume @p25 (exists @t11 (and @t16 @t15 @t10 (tptp.being_limit_ordinal @t1)))) % 0.44/0.63 (assume @p26 (exists @t11 (and @t13 @t18))) % 0.44/0.63 (assume @p27 (forall @t11 (=> @t35 (exists @t9 (and @t23 @t37))))) % 0.44/0.63 (assume @p28 (exists @t11 @t13)) % 0.44/0.63 (assume @p29 (exists @t11 (and @t31 @t35 @t16 @t15 @t10))) % 0.44/0.63 (assume @p30 (forall @t11 (exists @t9 (and @t23 @t36 (tptp.relation @t2) (tptp.function @t2) (tptp.one_to_one @t2) @t7 @t6 @t5 (tptp.natural @t2) @t21)))) % 0.44/0.63 (assume @p31 (exists @t11 @t29)) % 0.44/0.63 (assume @p32 (exists @t11 (and @t18 @t14 @t27 @t13 @t16 @t15 @t10))) % 0.44/0.63 (assume @p33 (exists @t11 (and @t18 @t14 @t38 (tptp.ordinal_yielding @t1)))) % 0.44/0.63 (assume @p34 (exists @t11 (and @t35 @t18))) % 0.44/0.63 (assume @p35 (forall @t11 (exists @t9 (and @t23 @t36)))) % 0.44/0.63 (assume @p36 (exists @t11 @t35)) % 0.44/0.63 (assume @p37 (exists @t11 (and @t31 @t13 @t16 @t15 @t10 @t19))) % 0.44/0.63 (assume @p38 (forall @t11 (=> @t35 (exists @t9 (and @t23 @t37 @t21))))) % 0.44/0.63 (assume @p39 (exists @t11 @t28)) % 0.44/0.63 (assume @p40 (exists @t11 (and @t35 @t16 @t15 @t10))) % 0.44/0.63 (assume @p41 (exists @t11 (and @t18 @t39))) % 0.44/0.63 (assume @p42 (exists @t11 (and @t18 @t39 @t14))) % 0.44/0.63 (assume @p43 (exists @t11 (and @t18 @t14 @t38))) % 0.44/0.63 (assume @p44 (exists @t11 (and @t18 (tptp.relation_non_empty @t1) @t14))) % 0.44/0.63 (assume @p45 (forall @t4 (tptp.subset @t1 @t1))) % 0.44/0.63 (assume @p46 @t43) % 0.44/0.63 (assume @p47 (forall @t4 (=> @t3 @t44))) % 0.44/0.63 (assume @p48 (forall @t4 (=> @t44 (or @t36 @t3)))) % 0.44/0.63 (assume @p49 @t46) % 0.44/0.63 (assume @p50 (forall @t49 (=> (and @t3 @t48) (tptp.element @t1 @t47)))) % 0.44/0.63 (assume @p51 (forall @t49 (not (and @t3 @t48 (tptp.empty @t47))))) % 0.44/0.63 (assume @p52 (forall @t11 (=> @t13 (= @t1 tptp.empty_set)))) % 0.44/0.63 (assume @p53 (forall @t4 (not (and @t3 @t36)))) % 0.44/0.63 (assume @p54 (forall @t4 (not (and @t13 (not (= @t1 @t2)) @t36)))) % 0.44/0.63 (assume @p55 true) % 0.44/0.63 (step @p56 :rule aci_norm :args ((= @t56 @t54))) % 0.44/0.63 (step @p57 :rule cong :premises (@p56) :args (@t58)) % 0.44/0.63 (step @p58 :rule quant-merge-prenex :args ((= (forall @t11 @t60) @t58))) % 0.44/0.63 (step @p59 :rule alpha_equiv :args (@t61 (@list @t50) (@list @t2))) % 0.44/0.63 (step @p60 :rule refl :args (@t53)) % 0.44/0.63 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t62)) % 0.44/0.63 (step @p62 :rule quant-miniscope-or :args ((= @t60 @t62))) % 0.44/0.63 (step @p63 :rule trans :premises (@p62 @p61)) % 0.44/0.63 (step @p64 :rule symm :premises (@p63)) % 0.44/0.63 (step @p65 :rule cong :premises (@p64) :args ((forall @t11 (or @t53 @t63)))) % 0.44/0.63 (step @p66 :rule trans :premises (@p65 @p58)) % 0.44/0.63 (step @p67 :rule trans :premises (@p66 @p57)) % 0.44/0.63 (step @p68 :rule bool-impl-elim :args (@t12 @t63)) % 0.44/0.63 (step @p69 :rule cong :premises (@p68) :args ((forall @t11 (=> @t12 @t63)))) % 0.44/0.63 (step @p70 :rule trans :premises (@p69 @p67)) % 0.44/0.63 (step @p71 :rule bool-impl-elim :args (@t23 @t21)) % 0.44/0.63 (step @p72 :rule cong :premises (@p71) :args (@t24)) % 0.44/0.63 (step @p73 :rule refl :args (@t12)) % 0.44/0.63 (step @p74 :rule cong :premises (@p73 @p72) :args (@t25)) % 0.44/0.63 (step @p75 :rule cong :premises (@p74) :args (@t26)) % 0.44/0.63 (step @p76 :rule trans :premises (@p75 @p70)) % 0.44/0.63 (step @p77 :rule eq_resolve :premises (@p8 @p76)) % 0.44/0.63 (step @p78 :rule eq-symm :args (@t45 @t40)) % 0.44/0.63 (step @p79 :rule cong :premises (@p78) :args (@t46)) % 0.44/0.63 (step @p80 :rule eq_resolve :premises (@p49 @p79)) % 0.44/0.63 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t69 @t68))) % 0.44/0.63 (step @p82 :rule aci_norm :args ((= (or (or @t65 @t64) @t12) @t66))) % 0.44/0.63 (step @p83 :rule refl :args (@t12)) % 0.44/0.63 (step @p84 :rule bool-and-de-morgan :args (@t40 @t21 true)) % 0.44/0.63 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t41) @t12))) % 0.44/0.63 (step @p86 :rule trans :premises (@p85 @p82)) % 0.44/0.63 (step @p87 :rule bool-impl-elim :args (@t41 @t12)) % 0.44/0.63 (step @p88 :rule trans :premises (@p87 @p86)) % 0.44/0.63 (step @p89 :rule cong :premises (@p88) :args (@t42)) % 0.44/0.63 (step @p90 :rule cong :premises (@p89) :args (@t43)) % 0.44/0.63 (step @p91 :rule eq_resolve :premises (@p46 @p90)) % 0.44/0.63 (step @p92 :rule skolemize :premises (@p91)) % 0.44/0.63 (step @p93 :rule bool-double-not-elim :args (@t70)) % 0.44/0.63 (step @p94 :rule refl :args (@t75)) % 0.44/0.63 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t75 (not @t74)))) % 0.44/0.63 (step @p96 :rule cnf_or_neg :args (@t75 0)) % 0.44/0.63 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.44/0.63 (step @p98 :rule reordering :premises (@p97) :args ((or @t70 @t75))) % 0.44/0.63 (step @p99 :rule chain_m_resolution :premises (@p98 @p92) :args (@t70 @t76 @t77)) % 0.44/0.63 (step @p100 :rule cnf_equiv_pos1 :args (@t79)) % 0.44/0.63 (step @p101 :rule reordering :premises (@p100) :args ((or @t74 @t78 (not @t79)))) % 0.44/0.63 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p81) :args (@t78 (@list false false) (@list @t70 @t79))) % 0.44/0.63 (step @p103 :rule cnf_or_neg :args (@t75 2)) % 0.44/0.63 (step @p104 :rule chain_m_resolution :premises (@p103 @p92) :args ((not @t71) @t76 @t77)) % 0.44/0.63 (step @p105 :rule bool-double-not-elim :args (@t72)) % 0.44/0.63 (step @p106 :rule nary_cong :premises (@p94 @p105) :args ((or @t75 (not @t73)))) % 0.44/0.63 (step @p107 :rule cnf_or_neg :args (@t75 1)) % 0.44/0.63 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.44/0.63 (step @p109 :rule reordering :premises (@p108) :args ((or @t72 @t75))) % 0.44/0.63 (step @p110 :rule chain_m_resolution :premises (@p109 @p92) :args (@t72 @t76 @t77)) % 0.44/0.63 (step @p111 :rule cnf_or_pos :args (@t81)) % 0.44/0.63 (step @p112 :rule reordering :premises (@p111) :args ((or @t73 @t71 @t80 @t82))) % 0.44/0.63 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p104 @p102) :args (@t82 (@list false true false) (@list @t72 @t71 @t78))) % 0.44/0.63 (assume-push @p120 @t83) % 0.44/0.63 (step @p115 :rule instantiate :premises (@p77) :args ((@list @t68 @t69))) % 0.44/0.63 (step-pop @p121 :rule scope :premises (@p115)) % 0.44/0.63 (step @p116 :rule process_scope :premises (@p121) :args (@t81)) % 0.44/0.63 (step @p118 :rule implies_elim :premises (@p116)) % 0.44/0.63 (step @p119 false :rule chain_m_resolution :premises (@p118 @p113 @p77) :args (false (@list true false) (@list @t81 @t83))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------